Abstract:
A nonlinear system of first order ordinary differential equations is considered. The system is unresolved with respect to the derivative of the unknown function and it is identically degenerate in the domain. An arbitrarily high unresolvability index is admited. Analysis is carried out under assumptions that ensure the existence of a global structural form that separates "algebraic" and "differential" subsystems. Local R-observability conditions are obtained by linear approximation of the system.
Keywords:
local observability, differential-algebraic equation, observable nonlinear system.
This work was partially supported by the Russian Foundation for Basic Research (project no. 16-31-00101 мол_а) and by the Complex Program of Fundamental Scientific Research of the Siberian Branch of RAS (no. II.2).
Received: 21.12.2015 Received in revised form: 05.02.2016 Accepted: 01.05.2016
Bibliographic databases:
Document Type:
Article
UDC:517.926, 517.977.1
Language: English
Citation:
Pavel S. Petrenko, “Local R-observability of differential-algebraic equations”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 353–363
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\by Pavel~S.~Petrenko
\paper Local $R$-observability of differential-algebraic equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 3
\pages 353--363
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\crossref{https://doi.org/10.17516/1997-1397-2016-9-3-353-363}
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This publication is cited in the following 4 articles:
P. S. Petrenko, “Robust Controllability of Nonstationary Differential-Algebraic Equations with Unstructured Uncertainty”, J Math Sci, 239:2 (2019), 123
P. S. Petrenko, “Robust controllability of linear differential-algebraic equations with unstructured uncertainty”, J. Appl. Industr. Math., 12:3 (2018), 519–530
P. S. Petrenko, “Robastnaya upravlyaemost nestatsionarnykh differentsialno-algebraicheskikh uravnenii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 25 (2018), 79–92
P. S. Petrenko, “Nablyudaemost v klasse funktsii Chebysheva sistem differentsialno-algebraicheskikh uravnenii”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 20 (2017), 61–74
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